By Ruth Mantell
WASHINGTON (MarketWatch) -- Private-sector employment growth rose in May, as the economy gained 135,000 jobs, Automatic Data Processing Inc. reported Wednesday morning. Economists polled by MarketWatch had expected the report to show that employment growth picked up compared with an original April estimate of a tepid gain of 119,000 private jobs. On Wednesday, ADP revised April's private-job gain to 113,000. Markets look to ADP's report on private-sector payrolls to provide some guidance on the U.S. Department of Labor's jobs estimate, which will be released Friday and includes information on both private- and public-sector payrolls. Economists polled by MarketWatch expect the government to report Friday that nonfarm-payroll employment expanded by 175,000 in May, a tad higher than a 165,000 gain in April. They also expect that the unemployment rate remained at 7.5%.